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Finding the Third Proportional to 159,723 and 247,279

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Solution

The third proportional to 159,723 and 247,279 is: 382,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,723 : 247,279 = 247,279 : x
  2. Step 2: Convert to fraction form
    159,723/247,279 = 247,279/x
  3. Step 3: Cross multiply
    159,723x = 247,279 × 247,279
  4. Step 4: Simplify right side
    159,723x = 61,146,903,841
  5. Step 5: Solve for x
    x = 61,146,903,841/159,723
  6. Step 6: Final answer
    x = 382,830.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.